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Finding the Fourth Proportional to 16,096.75, 24,143.07 and 6,229.28

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Solution

The fourth proportional to 16,096.75, 24,143.07 and 6,229.28 is: 9,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.75 : 24,143.07 = 6,229.28 : x
  2. Step 2: Convert to fraction form
    16,096.75/24,143.07 = 6,229.28/x
  3. Step 3: Cross multiply
    16,096.75x = 24,143.07 × 6,229.28
  4. Step 4: Simplify right side
    16,096.75x = 150,393,943.09
  5. Step 5: Solve for x
    x = 150,393,943.09/16,096.75
  6. Step 6: Final answer
    x = 9,343.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.